Math 1225 ¤2 Calculus II with MAPLE Sylabus Jan. 12, 1999 MTWHF 12:55-1:45 pm in JWB 333 Instructor: A. Treibergs, JWB 224, 581-8350. E-mail: treiberg@math.utah.edu Office Hours: 10:30-11:30 MWF(tent.) & by appt. Home page: http://www.math.utah.edu/~treiberg/M1225.html Texts: Varberg & Purcell, Calculus, 7th ed., Prentice Hall 1997 Homework: Homework will be assigned daily. You are expected to work and write up all the assigned problems. We will spend the first few minutes of each class discussing homework from the previous day. Quiz and test problems will be slightly modified homework problems Lab: There will be seven computer assignments using MAPLE. On computer days, we will meet in the computer lab in Bldg 129 for the class period. Lab day will be Wednesday. Midterms: There will be four midterm exams on Jan. 28, Feb. 18, Mar. 11 and Apr. 8. Questions will be modifications of homework problems. Quizzes: There will be a 15 minute quiz every week there is no midterm exam. Questions will be modifications of homework problems. Final exam: Th., May 6, 12:30-2:30 p.m. Half of the final will be devoted to material covered after the fourth midterm exam. The other half will be comprehensive. Students must take the final to pass the course. Grades: The course grade will be based on the following score: Best 3 of 4 midterms(30%) + computer assignments(20%) + best 9 of 11 quizzes(30%) + final score (20%) Letter grades will be assigned (roughly) 85-100 A, 70-85 B, etc. Withdrawls: Until Jan 22 you can withdraw from the class with no tuition penalty Until Mar. 5 you can withdraw with no approval at all. After that date you must petition your Dean's office to be allowed to withdraw. FreeTutoring: Available in room 259 Bldg 129 Monday-Thursday 8:30am-7:00pm, Friday 8:30am-2:30pm. ADA: The Americans with Disability Act requires that reasonable accomo- dations be provided for students with cognitive, systemic, learning and psychiatric disabilities. Please contact me at the beginning of the quarter to discuss any such accomodations you may requaire for this course. 2. Math 1225 - 1 Schedule and Homework for the semester E = Midterm Exam Q = Quiz L = Lab in Bldg 129 Day Section Topic Problems M, Jan. 11 7.1 natural log 351[1,2,6,10,18,26,29,38,39,43] T 12 7.2 inverse functions 357[11,25,29,32,38,43] W 13 L Th 14 Q 7.2 derivatives of inv. F 15 7.3 exponential fn. 364[10,19,22,27,32,39,45] M 18 Martin Luther King / Human Rights Day Holiday T 19 7.4 general exp / log 370[4,6,8,20,21,29,35,39,45] W 20 L Th 21 Q 7.5 growth & decay 377[2,5,13,16,27,30] F 22 7.6 inverse trig. fn. 384[2,6,10,12,29,33,36,41,47] M 25 7.7 derivatives trig fn. 390[13,30,31,35,45,47] T 26 7.7 review W 27 L Th 28 E Midterm Exam F 29 7.8 hyperbolic fn. 396[8,18,20,26,38,45,49,53] M, Feb. 1 8.1 substitution method 411[1,5,9,...,57,67] T 2 8.2 trig. integrals 415[1,5,9,...,29] W 3 L Th 4 Q 8.2 F 5 8.3 rationalizing subst. 420[1,5,9,...,37] M 8 8.4 integration by parts 427[1,5,9,...,57,69,89] T 9 8.5 rational functions 436[1,9,17,25,31] W 10 L Th 11 Q 9.1 L'Hopital's rule 448[1,7,13,19,26,27,29] F 12 9.2 ° / ° 454[1,5,13,17,23,29,36,41] M 15 Presidents Day Holiday T 16 9.2 review W 17 L Th 18 E Midterm Exam F 19 9.3 Infinite limits 460[1,5,9,...,29] M 22 9.4 Infinite integrands 465[1,9,17,...,41] T 23 10.1 Taylor's formula 476[5,11,21,23] W 24 L Th 25 Q 10.2 Error bounds 484[1,8,12,15,29,35] F 26 10.3 Trapezoid rule 487[2,7,9,13,24] M, Mar. 1 10.4 Newton's method 501[1,5,16,19] T 2 10.5 Iteration method 508[3,5,11,17] W 3 L Th 4 Q 10.5 F 5 11.1 Infinite sequences 519[1,5,9,17,19,23,29,33,35,43, 53] M 8 11.2 Infinite series 527[3,7,11,15,21,23,34,37,40] T 9 11.2 review W 10 L Th 11 E Midterm Exam F 12 11.3 integral test 534[1,5,9,...,29,30,33] Mar. 15 - 19 Spring Break M, Mar. 22 11.4 tests for positive 542[3,7,11,...,43] T 23 11.5 alternating series 548[3,9,15,...,39] W 24 L Th 25 Q 11.5 absolute convergence F 25 11.6 power series 553[3,7,11,...,27] M 29 11.7 operations on power 559[3,5,9,15,17,25,29,31] T 30 11.7 more operations W 31 L Th, Apr. 1 Q 11.8 Maclaurin series 567[5,11,17,21,27,29,35] F 2 12.1 parabola 577[3,6,9,11,17,23,31,39] M 5 12.2 elipses & hyperbolas 584[3,15,19,23,29,39,41] T 6 12.2 review W 7 L Th 8 E Midterm Exam F 9 12.3 more ellipses 589[3,7,13,17,22,29] M 12 12.4 translation of axes 595[5,7,11,27,31,35,43,47] T 13 12.5 rotation of axes 600[1,9,13,17,19,20] W 14 L Th 15 Q 12.5 F 16 12.6 polar coordinates 607[5,7,13,21,25,31,37,42] M 19 12.7 graphs in polar coords. 611[3,7,11,15,19,37,40,43,53,62] T 20 12.8 calculus in polar 620[5,13,15,19,23,27,33,34,35] W 21 L Th 22 Q 18.1 linear first order ODE 877[1,2,5,11,15,19,23] F 23 18.2 2nd order homog. ODE 882[1,6,9,11,15,17,21,24] M 26 18.3 non-homog. ODE 887[1,4,7,9,11,13,16,19] T 27 18.4 applications 892[1,5,9,13,17] W 28 Q 18.4 Th 29 review F 30 reading day Th, May 6, 12:30 p.m. Final Exam